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Finding the Fourth Proportional to 7,563.76, 10,447.32 and 5,464.56

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Solution

The fourth proportional to 7,563.76, 10,447.32 and 5,464.56 is: 7,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.76 : 10,447.32 = 5,464.56 : x
  2. Step 2: Convert to fraction form
    7,563.76/10,447.32 = 5,464.56/x
  3. Step 3: Cross multiply
    7,563.76x = 10,447.32 × 5,464.56
  4. Step 4: Simplify right side
    7,563.76x = 57,090,006.98
  5. Step 5: Solve for x
    x = 57,090,006.98/7,563.76
  6. Step 6: Final answer
    x = 7,547.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.